Two angles are considered to be adjacent angles if they have a common vertex, share a common side but don't contain common interior points, meaning they don't overlap in any way.
The following figures are examples of angles that are NOT adjacent.
The angles below are not adjacent angles because although they have a common vertex, they don't share a common side.
The angles below are not adjacent angles because although they share a common side, they don't have a common vertex.
The angles below are not adjacent angles because they overlap.
